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arXiv · 1508.05410

An integro-differential equation without continuous solutions

Luis Silvestre·Stanley Snelson
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Abstract

We show an example of a non-symmetric integro-differential equation of order $α$, for $α\in (0,1)$, for which Hölder estimates do not hold even though the kernels are comparable to the fractional Laplacian.

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Luis Silvestre, Stanley Snelson. 2015-08-21. An integro-differential equation without continuous solutions. https://arxiv.org/abs/1508.05410

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